2413002020 has 96 divisors (see below), whose sum is σ = 6065902080. Its totient is φ = 794626560.

The previous prime is 2413002019. The next prime is 2413002037. The reversal of 2413002020 is 202003142.

It is a junction number, because it is equal to n+sod(n) for n = 2413001986 and 2413002004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143621 + ... + 159539.

It is an arithmetic number, because the mean of its divisors is an integer number (63186480).

Almost surely, 2^2413002020 is an apocalyptic number.

2413002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032951040).

2413002020 is an abundant number, since it is smaller than the sum of its proper divisors (3652900060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2413002020 is a wasteful number, since it uses less digits than its factorization.

2413002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2413002020 is about 49122.3169241843. The cubic root of 2413002020 is about 1341.2793195476.

Adding to 2413002020 its reverse (202003142), we get a palindrome (2615005162).

The spelling of 2413002020 in words is "two billion, four hundred thirteen million, two thousand, twenty".